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Finding the Fourth Proportional to 7,781.60, 11,721.44 and 7,092.64

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Solution

The fourth proportional to 7,781.60, 11,721.44 and 7,092.64 is: 10,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.60 : 11,721.44 = 7,092.64 : x
  2. Step 2: Convert to fraction form
    7,781.60/11,721.44 = 7,092.64/x
  3. Step 3: Cross multiply
    7,781.60x = 11,721.44 × 7,092.64
  4. Step 4: Simplify right side
    7,781.60x = 83,135,954.20
  5. Step 5: Solve for x
    x = 83,135,954.20/7,781.60
  6. Step 6: Final answer
    x = 10,683.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.